![](/images/graphics-bg.png)
Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach
Joint Authors
Sutrima, Sutrima
Indrati, Christiana Rini
Aryati, Lina
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the theory control systems, there are many various qualitative control problems that can be considered.
In our previous work, we have analyzed the approximate controllability and observability of the nonautonomous Riesz-spectral systems including the nonautonomous Sturm-Liouville systems.
As a continuation of the work, we are concerned with the analysis of stability, stabilizability, detectability, exact null controllability, and complete stabilizability of linear non-autonomous control systems in Banach spaces.
The used analysis is a quasisemigroup approach.
In this paper, the stability is identified by uniform exponential stability of the associated C0-quasisemigroup.
The results show that, in the linear nonautonomous control systems, there are equivalences among internal stability, stabizability, detectability, and input-output stability.
Moreover, in the systems, exact null controllability implies complete stabilizability.
American Psychological Association (APA)
Sutrima, Sutrima& Indrati, Christiana Rini& Aryati, Lina. 2018. Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1114264
Modern Language Association (MLA)
Sutrima, Sutrima…[et al.]. Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach. Abstract and Applied Analysis No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1114264
American Medical Association (AMA)
Sutrima, Sutrima& Indrati, Christiana Rini& Aryati, Lina. Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1114264
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114264